6.05 Do Now

Describe the end behavior of the function shown: y=log₂(x+1)

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Tags

CCSS.HSF-IF.C.7E

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Describe range of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

Tags

CCSS.HSF-IF.C.7E

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

What kind of asymptotes do logs have?

• horizontal ( y=0)
• vertical (x=0)

Tags

CCSS.HSF-IF.C.7E

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Tags

CCSS.HSF.BF.B.5

Convert log(x)=5 to exponential form

• 1⁵=x
• 10^x=5
• x⁵=10
• 10⁵=x

Tags

CCSS.HSF.BF.B.5

Convert 10^(x+5)=100 to logarithmic form.

• log₁₀₀=x+5
• log(x+5)=100
• log(100)=x+5
• log_(x+5)(100)=10

Tags

CCSS.HSF.BF.B.5

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x
• 1^x=y+2
• 10^x=y+2
• x^(y+2)=10

Tags

CCSS.HSF.BF.B.5

Convert 2^x+6=10 to logarithmic form

• log₄(x)=2
• log₂(4)=x
• log₂(10)=6
• log₂(x)=4

Tags

CCSS.HSF.BF.B.5